Strict Arakelov-type inequalities for a family of curves

被引：0

作者：

Xu, Wan-Yuan ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 03期

基金：

中国国家自然科学基金;

关键词：

family of curves; singular fiber; the Arakelov inequality;

D O I：

10.1002/mana.202300204

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove some strict Arakelov-type inequalities which bound the degree of the pushfoward of the relative pluricanonical sheaf for a family of curves. We give an analogous result in positive characteristic.

引用

页码：1136 / 1141

页数：6

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